What is the derivative of 3tan(sqrt(x)) ?

The derivative of 3tan(sqrt(x)) is (3sec^2(sqrt(x)))/(2sqrt(x))

What is the first derivative of 3tan(sqrt(x)) ?

The first derivative of 3tan(sqrt(x)) is (3sec^2(sqrt(x)))/(2sqrt(x))

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\frac{d}{d x} (3 tan (x))

\frac{3 sec ^{2} ( x )}{2 x}

Solution steps

\frac{d}{d x} (3 tan (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (tan (x))

Apply the chain rule:

sec^{2} (x) \frac{d}{d x} (x)

= sec^{2} (x) \frac{d}{d x} (x)

\frac{d}{d x} (x) = \frac{1}{2 x}

= 3 sec^{2} (x) \frac{1}{2 x}

Simplify

3 sec^{2} (x) \frac{1}{2 x} : \frac{3 sec ^{2} ( x )}{2 x}

= \frac{3 sec ^{2} ( x )}{2 x}

\int \frac{1}{( 1 - x ^{4} )} d x

\frac{d}{d x} (cos (x) sin (x))

\int tanh (2 x) d x

\int \frac{1}{2 x + 4 x ^{2}} d x

f (x) = \frac{x ^{2}}{100}

What is the derivative of 3tan(sqrt(x)) ?
The derivative of 3tan(sqrt(x)) is (3sec^2(sqrt(x)))/(2sqrt(x))
What is the first derivative of 3tan(sqrt(x)) ?
The first derivative of 3tan(sqrt(x)) is (3sec^2(sqrt(x)))/(2sqrt(x))